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Acta Sinica Quantum Optica

Evolution of the Field Entropy in Degenerate Raman Coupling Jaynes-Cummings Models with a Time-Dependent Atom-Field Coupling

Jia Jin-ping

Published Jan 1, 2006• 0 citations
OpenAlex

Abstract

The property of the field entropy in degenerate Raman coupling Jaynes-Jummings models with a linear time-dependent atom-field coupling is investigated.The influence of different initial field and time-dependent atom-field coupling coefficient on the field entropy is discussed at length.The results show that:(1) All the evolutions of field entropies have periodicity whatever the initial field states are.The increase of the mean number of photon does not change evolution periodicity;(2) The different statistical properties of the initial fields will give great effects on the values of the maximum field entropy and the variational range the highest value of field entropy;(3) the perfect periodicity of field entropy will be destroyed due to the linear modulation.When the atom-field coupling coefficient changes slowly,the speed of atoms′ entering the statistical state is slowered;when the atomfield coupling coefficient changes rapidly,the oscillating periodicity of the curve of the evolution of field entropy is shortened,the oscillating frequency of the evolution of field entropy is fastened,and the moments of the atom-field disentanglement are manifolded.

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The property of the field entropy in degenerate Raman coupling Jaynes-Jummings models with a linear time-dependent atom-field coupling is investigated.The influence of different initial field and time-dependent atom-field coupling coefficient on the field entropy is discussed at length.The results show that:(1) All the evolutions of field entropies have periodicity whatever the initial field states are.The increase of the mean number of photon does not change evolution periodicity;(2) The different statistical properties of the initial fields will give great effects on the values of the maximum field entropy and the variational range the highest value of field entropy;(3) the perfect periodicity of field entropy will be destroyed due to the linear modulation.When the atom-field coupling coefficient changes slowly,the speed of atoms′ entering the statistical state is slowered;when the atomfield coupling coefficient changes rapidly,the oscillating periodicity of the curve of the evolution of field entropy is shortened,the oscillating frequency of the evolution of field entropy is fastened,and the moments of the atom-field disentanglement are manifolded.
Under on-resonance condition and with a time-dependent atom-field coupling, we study the entropy properties of the field interacting with a V-type three-level atom,and discuss the effects of the atom-field coupling coefficient and the different initial field on the field (atom) entropy at length. The results show that the different statistical properties of the initial field will lead to the change of the field (atom) entropy. When the atom-field coupling coefficient changes slowly, the speed of atom entering the statistical state is slowed; When the atom-field coupling coefficient changes rapidly, the oscillating frequency of the evolution of entropy speed up.
Under on-resonance condition and with a time-dependent atom-field coupling,the entropy properties of the optics field interacting with a Cascade three-level atom is studied,derive the field(atomic) entropy formula and discuss the effects of the atom-field coupling coefficient and the different initial field on the field(atom) entropy at length.The result show that the different Statistical properties of the initial field will lead to the change of the field(atom) entropy.When the atom-field coupling coefficient changes slowly,the speed of atom entering the statistical state is slowed;when the atom-field coupling coefficient changes rapidly,the oscillating frequency of the evolution of entropy speed up.
The evolution properties of the entropy of a single-mode light field interacting with the V-type three-level atom via intensity-dependent coupling have been studied. The discussion is centered on the influence of detuning and initial photon number on the field entropy evolution. The results show that the behavi or of the field entropy is non-periodic for the cases of small detuning and weak initial light field,being similar to the single-photon Jaynes-Cummings model (JCM). On the contrary,the field entropy evolution is periodic for the cases of large detuning or strong initial light field,being similar to the two-photon JCM
Based on the fact that the localized creation and annihilation operators of photons in the picoseconds fundamental bright soliton state field are the same as the creation and annihilation operators of photons in the free field,so following the standard Jaynes-Cummings(abbreviated to be JC) model,the properties of time evolution of field quantum entropy in the system of a picoseconds fundamental bright soliton state field interacting with an ideal two-level atom through single photon resonant processes based on the Von Neumann quantum reduced entropy theory,and the attention is focused on the discussion of the influence of both the initial field insitenty and the coupling strength between the field and the atom on the properties of the time evolution of the field quantum entropy.The results obtained from the numerical method indicate that the initial field insitenty affects not only the maximum and minimum values and the oscillation amplitude of the evolution of the field quantum entropy,but also the average value of the field quantum entropy.While the coupling strength between the field and the atom influences both the periodicity and the intensity of the irregular oscillation of the field quantum entropy.
By using the multiphoton Jaynes-Cummings model,the dynamical properties of the field entropy in the system that consists of a two-level atom interacting with a single-mode field via multiphoton transition are studied.The frequency of the field varying with time in the form of u sin wt has been considered.The results show that the time-evolution behavior of the field entropy is modulated by the frequency variation of field using the numerical.The modulation intensity is enchanced as the amplitude u of frequency variation of field increases.When the amplitude u of the time varying fields is larger than a fixed value,the time-evolution behavior of the field entropy will display periodic oscillation behavior.Its oscillation period agrees with the period of frequency varying.It shows that the evolution of field entropy is influenced by the frequency parameters w and u of the field varying with time.
The properties of the field quantum entropy evolution in a system of a single-mode squeezed coherent state field interacting with a two-level atom is studied by utilizing the complete quantum theory, and we focus our attention on the discussion of the influences of field squeezing parameter γ, atomic distribution angle θ and coupling strength g between the field and the atom on the properties of the evolution of field quantum entropy. The results obtained from numerical calculation indicate that the amplitude of oscillation of field quantum entropy evolution decreases with the increasing of squeezing parameter γ, and that both atomic distribution angle θ and coupling strength g between the field and the atom can influence the periodicity of field quantum entropy evolution.